Pith Number

pith:DN6ZGZO6

pith:2011:DN6ZGZO62PMLNWFZCGO5F72KBT

not attested not anchored not stored refs pending

Stochastic quasi-geostrophic equation

Michael R\"ockner, Rongchan Zhu, Xiangchan Zhu

arxiv:1108.4896 v1 · 2011-08-24 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DN6ZGZO62PMLNWFZCGO5F72KBT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:14.178834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7d9365ded3d8b6d8b9119dd2ff4a0ce6143018ffeb5bb05ed247a1657a0f33

Aliases

arxiv: 1108.4896 · arxiv_version: 1108.4896v1 · doi: 10.48550/arxiv.1108.4896 · pith_short_12: DN6ZGZO62PML · pith_short_16: DN6ZGZO62PMLNWFZ · pith_short_8: DN6ZGZO6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DN6ZGZO62PMLNWFZCGO5F72KBT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1b7d9365ded3d8b6d8b9119dd2ff4a0ce6143018ffeb5bb05ed247a1657a0f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659a223353048b728d4f0cebb9f84cdb8fbfbcad1c53fac23daf645d1f08edb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-24T17:41:39Z",
    "title_canon_sha256": "e3609932e05e552c79b28cf01bc8c219b22354fabeecd6c20cb610d9c44c1d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4896",
    "kind": "arxiv",
    "version": 1
  }
}